A dinosaur called Parasaurolophus is a dinosaur (looks like a dinosaur with a single horn) that has a hollow horn crest on its head. The 1.5 m long hollow tub inside of this crest had connections to the throat, leading some paleontologists to guess that the tube was used as a resonant chamber in vocalization. If you model this system as an open-closed system, what are the first three resonant frequencies at 85 degrees F?

Q: What tension is needed to make a 1.2m long string resonate at its fourth harmonic with a frequency…

A: Given Data: The length of a string is, L=1.2 m The frequency of a string is, f=240 Hz The linear…

Q: A crude approximation of human voice production is to consider the breathing passages and mouth to…

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Q: Suppose you want to build a musical instrument with a hollow pipe that is open at both ends. You…

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Q: The windpipe of one typical whooping crane is 4.1 feet long. What is the fundamental resonant…

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Q: Spiders may “tune” strands of their webs to give enhanced response at frequencies corresponding to…

A: Details given: Diameter of a web silk = 0.0020mm Density of spider silk = 1300kg/m3 Resonating…

Q: Standing waves can be produced within an aluminum rod by holding the rod at its midpoint and…

A: Length of the rod (L) = 1.1m It is first harmonic so wavelength is 2L= 2.2m Velocity of sound in rod…

Q: The frequencies to which the ear responds vary by a factor of 103 . Suppose the speedometer on your…

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Q: A guitar string has harmonics at 392 and 588 hz. If the string it’s 32cm long and has mass of 0.45…

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Q: Calculate the first overtone in an ear canal, which resonates like a 2.30 cm long tube closed at one…

A: Given data The length of the tube is given as l = 2.30 cm. The temperature of the wave is T=37°C…

Q: A guitar string produces a G 3 note (f = 196 Hz). If you tighten the tuning peg and triple the…

A: The frequency of the string is

Q: A string on a stringed instrument has a length of 1.5m and a mass of 5g.  The string is held taut by…

A: It is given that

Q: A violin string of length L=31.8 cm and linear mass density u=0.64gm/is tuned to play an A4 note at…

A: Given:L=31.8 cmμ=0.64g/mfrequency,f0=440.0Hzusing          v=Tμand           v=fλ

Q: A rope (u-0.12 ka/m) is spread between two fence pusts. The rope is plucked, creating a wave with…

A:

Q: A guitar string has a mass per unit length of 2.45 g/m. If the string is vibrating between points…

A: LONGITUDINAL AND TRANSVERSE WAVES

Q: A guitar string has a pluckable length of 42 cm. What is the length of the 5th harmonic?

A: Given data-     Pluckable length of guitar string ( L ) = 42 cm  Explanation -    because string of…

Q: Davie flexed his lowest bass guitar with strings of length 1.00m between fixed points. One string,…

A: Given : L = 1.00 m u = 60 g/m = 0.06 kg/m f = 25.0 Hz

Q: A violin string ? = 31.6 cm long and ? = 0.65 g⁄m linear mass density is tuned to play a La4 note at…

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Q: The A string on a violin has a fundamental frequency of 430Hz. The length of the vibrating portion…

A: Given: The fundamental frequency is 430 Hz. The length of the string is 35 cm = 0.35 m.…

Q: A violin string (length 0.4 m, with a mass per unit length of 0.0035 kg/m) has about 1 N of tension…

A: See below

Q: A violin string ? = 31.6 cm long and ? = 0.65 g⁄m linear mass density is tuned to play a La4 note at…

A: The frequency of the violin is given by: f=n2LTμ Here, L is the length of the string, T is the…

Q: The range of human hearing extends from approximately 20 Hz to 20,000 Hz. Find the wavelengths of…

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Q: An organ pipe is used to produce the lowest note audible to the human ear - 20.-Hz. If the…

A: Both open and closed organ pipe can produce 20 Hz. Speed of sound in air at 250C is 344 m/s

Q: Many opera singers (and some pop singers) have a range of about 2 octaves or even greater. Suppose a…

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Q: Although the vocal tract is quite complicated, we can make a simple model of it as an open-closed…

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Q: The D-string on a properly tuned guitar produces a tone with a fundamental frequency of 146.8 Hz.…

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Q: Ralph's ear canal is 2.67 cm long. If it is regarded as a tube that is open at one end and closed at…

A: Given, Length, L=2.67 cm=0.0267 m, and the speed of sound, v= 345 m/s.

Q: Davie flexed his lowest bass guitar with strings of length 1.00m between fixed points. One string,…

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Q: An organ pipe can resonate at 282 Hz and 470 Hz but not at any frequencies between these. What is…

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Q: A string is fixed at both ends. What is the frequency in Hz of the 9th harmonic if the frequency of…

A: Since there are multiple questions posted, we will answer the first question. The relationship…

Q: A piano tuner stretches a steel piano wire with a tension of 800 NN. The steel wire is 0.400 mm long…

A: Given:- A piano tuner stretches a steel piano wire with Tension T = 800 N  The length of the steel…

Q: The D string on a guitar has a linear mass density of 2.3x10^-3 kg/m and an oscillating length of…

A: Linear mass density (μ) = 0.0023 kgmLength (L) = 0.61 m Tension (T) = 81.9 N

Q: A vocal tract acts as an air column closed at one end. The vocal tract of a singer is 25.0 cm long…

A: Given that A vocal tract acts as an air column closed at one end. Length of the local tract L = 25.0…

Q: The B flat clarinets in the Helium Philamonic are 74 cm long , and (being reed instruments) they are…

A: Length of the B flat clarinets in the Helium Philamonic = 74 cm fundamental frequency of the…

Q: We can make a simple model of the human vocal tract as an open-closed tube extending from the…

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Q: A string has a length of 0.0015 km and a mass of 0.2 g. If the tension in the string is 150 N, what…

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Q: A cord with a mass of 0.65kg is stretched between two supports 8.0 m apart. If the tension in the…

A: Step 1:Step 2:Step 3:Step 4:

Q: Davie flexed his lowest bass guitar with strings of length 1.00m between fixed points. One string,…

A:

Q: When you blow over the edge of a pan flute pipe, a certain tone is produced. Assume that the tube is…

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Q: Spiders may "tune" strands of their webs to give enhanced response at frequencies corresponding to…

A:

Q: Although the vocal tract is quite complicated, we can make a simple model of it as an open-closed…

A: We have to determine the length of the open-closed tube. Given that, Fundamental frequency=200 Hz,…

Shock Waves

Shock waves are common in continuum mechanics, and their dominance is attributable to the fact that they are stronger (or even less) compressible. Substantial perturbations propagated as sudden dynamic changes of a compressible medium supersonically. Shock waves are all around us in our daily lives. Lightning, earthquakes, volcanic eruptions, and meteorite impact all produce them in nature. Even the earth, which is protected by its magnetic field, generates a shock wave as in solar wind that travels around 20 Earth radiuses. These shock waves might be either constant, linked to the body, or unsteady, i.e., moving around with time. All of the shocks mentioned above can be damaging, so precautions must be taken to reduce their impact.